Analytical shape sensitivity computation using hybrid finite elements

被引：6
|
作者：
Bakshi, P [1 ]
Pandey, PC [1 ]
机构：
[1] Indian Inst Sci, Dept Civil Engn, Bangalore 560012, Karnataka, India
来源：
COMPUTERS & STRUCTURES | 1999年 / 70卷 / 03期
关键词：
analytical shape sensitivity; modified Hellinger-Reissner variational principle; hybrid finite elements; symbolic computation;
D O I：
10.1016/S0045-7949(98)00184-9
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
This paper presents an algorithm for the determination of analytical shape sensitivities using hybrid finite elements. Based on the modified Hellinger-Reissner principle, expressions for analytical shape sensitivity are derived explicitly and the same have been implemented using a hybrid scheme of numerical and symbolic computation. Presented in a two dimensional, linear elastic context, the derivations are expected to yield better displacement and stress derivatives. Illustrations are given to demonstrate the applicability of the proposed approach and the results are verified with convergent finite difference values. (C) 1998 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：281 / 297
页数：17
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